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11642732544 = 2173291021
BaseRepresentation
bin10101101011111011…
…00000000000000000
31010001101212002112110
422311331200000000
5142321014420134
65203144055320
7561342410442
oct126575400000
933041762473
1011642732544
114a35023313
12230b164540
131137135771
147c63bc492
154821ed7e9
hex2b5f60000

11642732544 has 144 divisors (see below), whose sum is σ = 32149217520. Its totient is φ = 3743416320.

The previous prime is 11642732531. The next prime is 11642732561. The reversal of 11642732544 is 44523724611.

It is a super-2 number, since 2×116427325442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11402754 + ... + 11403774.

It is an arithmetic number, because the mean of its divisors is an integer number (223258455).

Almost surely, 211642732544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11642732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074608760).

11642732544 is an abundant number, since it is smaller than the sum of its proper divisors (20506484976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11642732544 is an frugal number, since it uses more digits than its factorization.

11642732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1055 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 11642732544 in words is "eleven billion, six hundred forty-two million, seven hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1021 1024 1392 1536 1856 2042 2048 2784 3063 3072 3712 4084 4096 5568 6126 6144 7424 8168 8192 11136 12252 12288 14848 16336 16384 22272 24504 24576 29609 29696 32672 32768 44544 49008 49152 59218 59392 65344 65536 88827 89088 98016 98304 118436 118784 130688 131072 177654 178176 196032 196608 236872 237568 261376 355308 356352 392064 393216 473744 475136 522752 710616 712704 784128 947488 950272 1045504 1421232 1425408 1568256 1894976 1900544 2091008 2842464 2850816 3136512 3789952 3801088 4182016 5684928 5701632 6273024 7579904 8364032 11369856 11403264 12546048 15159808 16728064 22739712 25092096 30319616 33456128 45479424 50184192 60639232 66912256 90958848 100368384 121278464 133824512 181917696 200736768 242556928 363835392 401473536 485113856 727670784 970227712 1455341568 1940455424 2910683136 3880910848 5821366272 11642732544